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 On Moduli Spaces of Semistable Sheaves on K3 Surfaces. In Search of new Irreducible Symplectic Manifolds
Наименование:

On Moduli Spaces of Semistable Sheaves on K3 Surfaces. In Search of new Irreducible Symplectic Manifolds

автор Markus Z. издательство Книга по Требованию Основы программирования и алгоритмы
Cтраниц 120        мягкая обложка       
Аннотация:A big challenge in symplectic geometry is the search for irreducible symplectic manifolds. After O' Grady constructed striking examples out of singular moduli spaces of sheaves on projective abelian and K3 surfaces for special nonprimitive Mukai vectors v with v. v=8, Kaledin, Lehn and Sorger proved that for all nonprimitive Mukai vectors v with v. v>8 the moduli space is not symplectically resolvable if the ample divisor is general. In this thesis we investigate the remaining cases of moduli spaces of semistable sheaves on projective K3 surfaces - the cases of Mukai vector (0,c,0) as well as moduli spaces for nongeneral ample divisors - with regard to the possible construction of new examples of projective irreducible symplectic manifolds. In particular, we can exclude for these cases the existence of new examples of projective irreducible symplectic manifolds lying birationally over components of the moduli space. We establish a connection to the already investigated moduli spaces or generalisations thereof, and we are able to extend the known results to all of the open remaining cases for rank 0 and many of those for positive rank.
Автор: Markus Z.
Издательство: Книга по Требованию
Год:2010
Цена:
2361 руб
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Поиск: On Moduli Spaces of Semistable Sheaves on K3 Surfaces. In Search of new Irreducible Symplectic Manifolds
НОВЫЙ ГОД СИМВОЛ 2013 ГОДАУКРАШЕНИЯ
КАРНАВАЛ НА НОВЫЙ ГОД РАСПРОДАЖА
Ортомолекулярная медицина Orthomol Устрание причин заболеваний. Ортомоль это новый метод для лечения и профилактики болезней. Orthomol - ортомолекулярная медицина.
Acoustic Emission

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